![]() ![]() Here, V 1 is the voltage from node 1 with respect to ground. The node voltage V 1 is labelled in the following figure. There is only one principal node except Ground in the above circuit. The modified circuit diagram is shown in the following figure. Find the value of the voltage v o and the current i o for the given circuit in. In this case, we can eliminate the 4 A current source by making open circuit of it. Use the superposition principle to find io and vo in the circuit of Fig. Step 1 − Let us find the current flowing through 20 Ω resistor by considering only 20 V voltage source. Exampleįind the current flowing through 20 Ω resistor of the following circuit using superposition theorem. As circuits get more complicated, Ohm's law, KCL, and KVL are not enough to solve the unknown values. Step 3 − Add all the responses in order to get the overall response in a particular branch when all independent sources are present in the network. Step 2 − Repeat Step 1 for all independent sources present in the network. Step 1 − Find the response in a particular branch by considering one independent source and eliminating the remaining independent sources present in the network. So Im gonna drive my circuit with some sort of sinusoid. Use superposition when you have a circuit with multiple inputs or multiple power sources. Procedure of Superposition Theoremįollow these steps in order to find the response in a particular branch using superposition theorem. Superposition is a super useful technique to add to your toolkit of circuit analysis methods. The response in a particular branch could be either current flowing through that branch or voltage across that branch. Therefore, we need to find the response in a particular branch ‘n’ times if there are ‘n’ independent sources. The superposition principle states that the voltage across (or currents through) an element in a linear circuit is the algebraic sum of the voltages across (or. We can eliminate the voltage sources by shorting their two terminals and similarly, the current sources by opening their two terminals. So, we have to eliminate the remaining independent sources from the circuit. In this method, we will consider only one independent source at a time. It states that the response in a particular branch of a linear circuit when multiple independent sources are acting at the same time is equivalent to the sum of the responses due to each independent source acting at a time. When 90 V voltage source is active: The given circuit is modified as shown in Figure 1. Calculation: In the given circuit, since there are three sources, let v x v 1 + v 2 + v 3 Where v 1, v 2, and v 3 are contributions due to the 90 V, 6 A, and 40 V sources. Superposition theorem is based on the concept of linearity between the response and excitation of an electrical circuit. Explanation of Solution Given data: Refer to Figure 4.85 in the textbook. Electrical Quantity Division Principles. ![]()
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